Mean Median Mode Calculator
Enter numbers to get mean, median, mode, and range with step-by-step calculations.
This mean median mode calculator finds the mean (average), median (middle value), mode (most frequent), and range (spread) for any set of numbers. Enter your data as a comma-separated list and see each calculation broken down step by step. Use it to analyze test scores, compare sales figures, or summarize any dataset that needs central tendency measures. The tool shows its work, so you understand where each number comes from.
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Frequently asked questions
What is the difference between mean and median?
The mean is the sum of all values divided by the count -- it is sensitive to extreme outliers. The median is the middle value when the list is sorted -- it is not affected by outliers, making it more representative for skewed datasets such as household incomes.
What does mode mean in statistics?
The mode is the value that appears most often in a dataset. A dataset can have one mode (unimodal), two modes (bimodal), or more (multimodal). If every value is unique, there is no mode.
How is range calculated?
Range equals the largest value minus the smallest value. It measures the spread of the data but is sensitive to outliers because it only uses the two extreme values.
Can a dataset have more than one mode?
Yes. When two or more values tie for the highest frequency, the dataset is multimodal and every tied value is a mode. This calculator lists all modes when that occurs.
Why does my mean not match an expected value?
This calculator rounds the mean to 5 decimal places for display. If your dataset contains repeating decimals, the displayed value may differ slightly from a result rounded to fewer places. All intermediate calculations use full floating-point precision.